Nick kindly sends in this wave file where he juxtaposed fragments form Bix's In A Mist and Barris's Wa-Da-Da and writes,

Attached are the phrases from Bix (In A Mist) and Barris (Wa Da Da) that seem (to my ears) to provide evidence that Barris was influenced by Bix. Listen to the similar descending left hand phrases, while the right hand is harmonically and melodically close.